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QCD中夸克和胶子形状因子到三圈的计算

Calculation of the quark and gluon form factors to three loops in QCD

T. Gehrmann, E. W. N. Glover, T. Huber, N. Ikizlerli, C. Studerus

备注：
60 pages, JHEP3 class, v5: Typos corrected
发表信息：
JHEP 1006:094,2010
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AI总结：

本文计算了QCD中夸克和胶子形状因子的三圈修正，证实了已有结果，并推导了费米子圈型贡献的次领头阶项，用于提取四圈共线反常维度及确定硬匹配系数。

摘要：

我们描述了夸克和胶子形状因子的三圈QCD修正的计算。相关的三圈费曼图被评估，所得的三圈费曼积分通过使用积分-分部关系被化简为一小组已知的主积分。我们的计算证实了Baikov等人最近关于三圈形状因子的结果。此外，我们推导了费米子圈型贡献对三圈形状因子的次领头阶${\cal O}(ε)$项，这些项对于提取四圈夸克和胶子共线反常维度的费米子贡献是必需的。形状因子的有限部分被用于确定Drell-Yan过程和软-共线有效理论中包含性希格斯产生的硬匹配系数。

英文摘要：

We describe the calculation of the three-loop QCD corrections to quark and gluon form factors. The relevant three-loop Feynman diagrams are evaluated and the resulting three-loop Feynman integrals are reduced to a small set of known master integrals by using integration-by-parts relations. Our calculation confirms the recent results by Baikov et al.\ for the three-loop form factors. In addition, we derive the subleading ${\cal O}(ε)$ terms for the fermion-loop type contributions to the three-loop form factors which are required for the extraction of the fermionic contributions to the four-loop quark and gluon collinear anomalous dimensions. The finite parts of the form factors are used to determine the hard matching coefficients for the Drell-Yan process and inclusive Higgs-production in soft-collinear effective theory.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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